On the rates of convergence of Chlodovsky-Kantorovich operators and their Bézier variant

• Autorzy: Pych-Taberska, P. , Karsli, H.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we consider the Bézier variant of Chlodovsky- Kantorovich operators K_n-1,af for functions f measurable and locally bounded on the interval [0,1). By using the Chanturiya modulus of variation we estimate the rate of pointwise convergence of K_n-1,af(x) at those x > 0 at which the one-sided limits f(x+) , f(x-) exist.

Słowa kluczowe

EN

rate of convergence; Chlodovsky-Kantorovich operator; Bézier basis; Chanturiya's modulus of variation; pth power variation

• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: Vol. 49, [Z] 2
• Strony: 189-208
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Pych-Taberska, P.

autor

Karsli, H.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University Umultowska 87, 61-614, Poznan, Poland,

Bibliografia

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